- #1
takercena
- 25
- 0
Help me to solve this simple problem
find a if
fx = 2x^3 - ax^2 + 2x - 7
has a repeated factor
find a if
fx = 2x^3 - ax^2 + 2x - 7
has a repeated factor
Physicsissuef said:What is repeated factor? Does it mean that it has two or more same roots? (Its translation problem)
symbolipoint said:Have you tried Rational Roots Theorem and synthetic division? Picking rational roots to try will not immediately involve 'a'. The synthetic division will certainly involve 'a'. The use of synthetic division either gives remainder of zero for a root or a nonzero remainder if a choice is not a root.
A polynomial is an algebraic expression that contains one or more terms, each consisting of a variable raised to a non-negative integer power and multiplied by a coefficient. In simpler terms, it is an expression that contains variables and coefficients using the operations of addition, subtraction, and multiplication, but not division or raising to a power.
To solve a polynomial equation, you must find the value of the variable that makes the equation true. This is done by simplifying the expression and factoring it into smaller parts. Then, you can set each factor equal to zero and solve for the variable. In some cases, you may need to use the quadratic formula or other methods to solve a polynomial equation.
The leading coefficient of a polynomial is the coefficient of the term with the highest degree (the term with the largest exponent). In the given polynomial, 2x^3 is the term with the highest degree, so the leading coefficient is 2.
To find the value of a in a polynomial equation, you can substitute the values of the other variables into the equation and solve for a. In the given equation, you can substitute the given values for f(x) and x, and then solve for a.
Yes, a polynomial can have more than one variable. However, it must follow the rules of a polynomial, which means that each term must have a variable raised to a non-negative integer power and be multiplied by a coefficient. An example of a polynomial with more than one variable is 2xy^2 + 3x^2y + 4x.